Dual Nature Of Radiation And Matter Ques 29

29. Monochromatic radiation emitted when electron on hydrogen atom jumps from first excited to the ground state irradiates a photosensitive material. The stopping potential is measured to be $3.57 $ $V$. The threshold frequency of the materials is :

[2012]

(a) $4 \times 10^{15} $ $Hz$

(b) $5 \times 10^{15} $ $Hz$

(c) $1.6 \times 10^{15} $ $Hz$

(d) $2.5 \times 10^{15} $ $Hz$

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Answer:

Correct Answer: 29.(c)

Solution:

  1. (c) $n \to 2-1$

$E=10.2 $ $ eV$

$k E=E-\phi$

$Q=10.20-3.57$

$h v_0=6.63 $ $eV$

$v_0=\frac{6.63 \times 1.6 \times 10^{-19}}{6.67 \times 10^{-34}}=1.6 \times 10^{15}$ $ Hz$